Details

sample60.0ms

Algorithm

intervals

Results

26.0ms	93×	body	1280	valid
12.0ms	79×	body	640	valid
5.0ms	242×	body	80	valid
5.0ms	54×	body	320	valid
1.0ms	23×	body	160	valid

simplify228.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1342	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize6.0ms

Local error

Found 1 expressions with local error:

7.5b	(- (exp x) (exp (- x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

19.0ms

(- (exp x) (exp (- x)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(- (exp x) (exp (- x)))

simplify116.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	158	354
1	416	228
2	2421	226
3	5002	203

prune64.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify31.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	49	89
1	150	78
2	862	78
3	5001	78

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
7.5b	(- (exp x) (exp (- x)))
7.5b	(- (exp x) (exp (- x)))
7.5b	(- (exp x) (exp (- x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

10.0ms	(cbrt (- (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))
16.0ms	(- (exp x) (exp (- x)))
16.0ms	(- (exp x) (exp (- x)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (- (exp x) (exp (- x))))
32.0ms	(- (exp x) (exp (- x)))
36.0ms	(- (exp x) (exp (- x)))
32.0ms	(- (exp x) (exp (- x)))

simplify203.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (192.0ms)

Iter	Nodes	Cost
0	229	1260
1	657	853
2	3923	840
3	5001	799

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
7.5b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 46

Calls

3 calls:

3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series100.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sqrt (exp x))
11.0ms	(sqrt (exp x))
78.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify87.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	103	240
1	220	214
2	658	213
3	2560	211
4	5002	209

prune125.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

928.0ms	3387×	body	1280	valid
394.0ms	2444×	body	640	valid
185.0ms	8203×	body	80	valid
130.0ms	1298×	body	320	valid
36.0ms	590×	body	160	valid